2 00:00:10,934 --> 00:00:13,050 We're also going to talk a lot about light in this class. 3 00:00:13,050 --> 00:00:15,930 And so, you need to be familiar with the various 4 00:00:15,930 --> 00:00:19,450 ways of describing the different kinds of light that are found. 5 00:00:20,560 --> 00:00:25,270 A light ray consists of waves that 6 00:00:25,270 --> 00:00:28,200 we'll talk more about in future lectures. 7 00:00:28,200 --> 00:00:31,100 But one way to characterize the different kinds of 8 00:00:31,100 --> 00:00:36,160 light waves is by the wavelength, 9 00:00:36,160 --> 00:00:39,030 the distance between two adjacent peaks. 10 00:00:39,030 --> 00:00:43,330 It's given the Greek letter lambda to describe the wavelength. 11 00:00:43,330 --> 00:00:49,230 And the units of wavelength are the number of cycles per centimeter. 12 00:00:49,230 --> 00:00:50,360 I have this upside down here. 13 00:00:52,240 --> 00:00:57,080 No, centimeter, centimeters per cycle, that's centimeters per cycle. 14 00:00:57,080 --> 00:01:01,360 And a lot of times, the units of cycle are left 15 00:01:01,360 --> 00:01:02,580 out, sort of implicit. 16 00:01:02,580 --> 00:01:04,710 And so sometimes very often you will 17 00:01:04,710 --> 00:01:08,160 see wavelength described in units of centimeters. 18 00:01:11,310 --> 00:01:15,110 Another way to describe light is in terms of the frequency of light. 19 00:01:15,110 --> 00:01:19,250 So light is moving at some speed C, the speed of light. 20 00:01:19,250 --> 00:01:21,530 And so, if you're just sitting here watching this light 21 00:01:21,530 --> 00:01:24,410 go past you, you can count the peaks as they're coming. 22 00:01:24,410 --> 00:01:26,920 And so, the frequency of the light, which is given 23 00:01:26,920 --> 00:01:32,110 the Greek letter nu, has units of cycles per second. 24 00:01:32,110 --> 00:01:36,780 Or, since they tend to drop the cycles, you can see this written as just 25 00:01:36,780 --> 00:01:40,685 one over seconds, or seconds to the minus 1. 26 00:01:40,685 --> 00:01:42,510 Can be confusing if you don't know what's going on. 27 00:01:42,510 --> 00:01:43,480 But it's not that hard. 28 00:01:45,960 --> 00:01:49,130 So if we want to get some more factor label 29 00:01:49,130 --> 00:01:52,350 practice at converting units, this is a good example. 30 00:01:52,350 --> 00:01:58,100 Let's say we have a wavelength of light and we want to calculate its frequency. 31 00:01:58,100 --> 00:02:01,030 So the frequency has units of cycles per second. 32 00:02:01,030 --> 00:02:02,630 So that's what we want. 33 00:02:02,630 --> 00:02:07,670 And looking at the wavelength, 34 00:02:07,670 --> 00:02:11,020 the wavelength itself is centimeters per cycle, 35 00:02:11,020 --> 00:02:13,850 but it looks like we want the cycles to be on top. 36 00:02:13,850 --> 00:02:18,870 So I'm going to put the wavelength upside-down, one over lambda. 37 00:02:18,870 --> 00:02:20,630 And so that gives us units here of 38 00:02:20,630 --> 00:02:24,850 cycles per centimeter, the inverse of lambda there. 39 00:02:24,850 --> 00:02:31,940 And then the speed of light C can be used to cancel the centimeters and get us 40 00:02:31,940 --> 00:02:37,570 the cycles per second that we're looking for. 41 00:02:37,570 --> 00:02:40,490 Another metric of light that turns out to be useful 42 00:02:40,490 --> 00:02:44,510 when we start talking about infrared light is called the wave number. 43 00:02:44,510 --> 00:02:46,560 And the wave number is simply the amount, 44 00:02:46,560 --> 00:02:51,540 the number of waves within 1 centimeter of distance. 45 00:02:51,540 --> 00:02:53,860 So you count the number of peaks in there, 46 00:02:53,860 --> 00:02:57,390 and the units of that are cycles per centimeter. 47 00:02:57,390 --> 00:03:02,660 Or by neglecting, ignoring the cycles there, it's oftentimes written as 48 00:03:02,660 --> 00:03:05,940 1 / cm, or cm raised to the power of minus 1. 49 00:03:05,940 --> 00:03:10,520 The wave number is just given the regular letter n.